Geometric obstructions to Lipschitz transport between weighted Hessian $\mathrm{CD}(\hat{I}º,\infty )$ manifolds

William Dudarov, Dan Mikulincer

We construct a weighted Riemannian manifold $({\mathbb{R}}^2,g,\hat{I}¼)$ satisfying $\mathrm{CD}(1/2,\infty )$, the curvature-dimension condition, with the following property: if ${\hat{I}}^3$ denot…